Draw a rhombus of side 3 cm long and a square of side 3 cm long

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

ExtremeBDS [4]

Answer:

800 kph
600 kph

Step-by-step explanation:

Equation

Let s represent the speed of the faster plane. Then its travel time is ...

time = distance/speed = 3600/s

travel time for the slower plane is ...

time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

3600/(s -200) -3600/s = 1.5

Solution

Multiplying by (2/3)s(s -200), we get ...

2400(s) -2400(s -200) = s(s -200)

s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

(s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

Conclusion

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

Check

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0

2 years ago

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered

Marta_Voda [28]

Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.

Step-by-step explanation:

If it is proportional that means the y value divided by the x value will give you a constant slope.

So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.

2/5 = 0.4

so you could write the equation y= 0.4x where x is the number of pound.

Part A: y= 0.4(1)

y= $0.40 which means one pound of cabbage will cost 40 cents.

Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.

Plot it into the equation and find out

in the coordinates (10,4) 4 is the y and 10 is the x

4= 0.4(10)

4= 4

Which means it true that 10 pounds of cabbage will cost 4 dollars.

5 0

3 years ago

In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter

anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

$x_1 = 2009;\ y_1 = 10,002$

$x_2 = 2013;\ y_2 = 17,884$

The rate of change is calculate as follows;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{10002 - 17884}{2009 - 2013}$

$m = \frac{-7882}{-4}$

$m = 1970.5$

Hence, the average rate of change is 1970.5 thousand

6 0

3 years ago

The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this informa

astra-53 [7]

Between 2pm and 4pm the average rate of change is zero.
I can't see the answer choices for the second part of the question.

5 0

2 years ago

*please help* If multiple forces are acting on an object, which statement is always true?

Montano1993 [528]

Answer: You are correct. The answer is choice C.

The sum of the vectors is the resultant vector, which is where the net force is directed.

An example would be if you had a ball rolling on a table and you bumped the ball perpendicular to its initial velocity, then the ball would move at a diagonal angle rather than move straight in the direction where you bumped it.

Acceleration is the change in velocity over time, so the acceleration vector tells us how the velocity's direction is changing.

8 0

3 years ago